Extensions 1→N→G→Q→1 with N=C₃₂ and Q=C₄

Direct product G=N×Q with N=C₃₂ and Q=C₄

		d	ρ	Label	ID
C₄×C₃₂		128		C4xC32	128,128

Semidirect products G=N:Q with N=C₃₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂⋊₁C₄ = C₈.Q₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₃₂	32	4	C32:1C4	128,158
C₃₂⋊₂C₄ = C₃₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃₂	32	4	C32:2C4	128,130
C₃₂⋊₃C₄ = C₃₂⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	128		C32:3C4	128,155
C₃₂⋊₄C₄ = C₃₂⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	128		C32:4C4	128,156
C₃₂⋊₅C₄ = C₃₂⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	128		C32:5C4	128,129

Non-split extensions G=N.Q with N=C₃₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂.₁C₄ = C₃₂.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.1C4	128,157
C₃₂.₂C₄ = M₇(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.2C4	128,160

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